Computing Nash equilibria: The plot thickens

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Myerson has argued that the Nash equilibrium lies at the foundations of modern economic thought, and yet the dark computational side of the concept keeps getting gloomier. We show that playing games under considerations of risk, disambiguating games via equilibrium selection a`-la Harsanyi-Selten, and computing equilibria by the homotopy method, are all rife with very serious complexity impediments. Joint work with Paul Goldberg and Amos Fiat.







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microsoft research